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arXiv · 2406.16599

Further results on equivalence of multivariate polynomial matrices

Jiancheng Guan·Jinwang Liu·Dongmei Li·Tao Wu
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Abstract

This paper investigates equivalence of square multivariate polynomial matrices with the determinant being some power of a univariate irreducible polynomial. We first generalized a global-local theorem of Vaserstein. Then we proved these matrices are equivalent to their Smith forms by the generalized global-local theorem.

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Jiancheng Guan, Jinwang Liu, Dongmei Li, Tao Wu. 2024-06-24. Further results on equivalence of multivariate polynomial matrices. https://arxiv.org/abs/2406.16599

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